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An asymptotic method for second-order critically damped nonliner equations

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Publication:1076210
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DOI10.1016/0016-0032(86)90065-7zbMath0593.34037OpenAlexW1979470904MaRDI QIDQ1076210

Md. Abdus Sattar

Publication date: 1986

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(86)90065-7


zbMATH Keywords

asymptotic methodsmall parameterapproximate solutionTaylor seriesexampleautonomous ordinary differential equationsecondorder differential equation


Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)


Related Items

Asymptotic solutions of third order over-damped non-linear systems with special conditions ⋮ A unified Krylov-Bogoliubov-Mitropolskii method for solving \(n\)th order nonlinear systems



Cites Work

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  • Damped nonlinear oscillations modeled by a 3-dimensional differential system
  • A unified Krylov-Bogoliubov method for solving second-order non-linear systems
  • Non-linear oscillations of a third-order differential equation
  • On an asymptotic method of Krylov-Bogoliubov for overdamped on linear systems
  • Introduction to Non-Linear Mechanics. (AM-11)
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